1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astraxan [27]
2 years ago
15

Solve the following system of equations by substitution and select the correct answer below:

Mathematics
2 answers:
forsale [732]2 years ago
7 0

Answer: x = 18, y = 3

Step-by-step explanation:

Given system of liner equation is :-

2x-4y=24.....(1)\\4x-12y=36..........(2)

From (1), we get

2x=24+4y\\\Rightarrow x=12+2y.........(3)

Substitute the value of x in equation (2), we get

4(12+2y)-12y=36\\\Rightarrow\ 48+8y-12y=36\\\Rightarrow-4y=36-48\\\Rightarrow\ -4y=-12\\\Rightarrow\ y=3

Now, substitute the value of y in (3), we get

x=12+2(3)=12+6=18

x = 18, y = 3

yarga [219]2 years ago
6 0
X=(24+4y)/2

4(24+4y)/2-12y=36
48+8y-12y=36
4y=12
y=3

2x-4x3=24
2x=36
x=18

Correct answer: A
You might be interested in
an orchard owner wants to plant 64 cherry tree seedlings and 96 peach tree seedlings in a rows each row is to have the same numb
NikAS [45]
The difference of these numbers (32) is also a divisor of both, so that is the greatest common divisor (GCD) and the answer to your question.

The orchard can consist of 32 rows, each with 3 peach trees and 2 cherry trees.
4 0
3 years ago
A projectile is launched into the air. The function h(t) = –16t2 + 32t + 128 gives the height, h, in feet, of the projectile t s
Zinaida [17]

Answer:

t = 4 seconds

Step-by-step explanation:

The height of the projectile after it is launched is given by the function :

h(t)=-16t^2+32t+128

t is time in seconds

We need to find after how many seconds will the projectile land back on the ground. When it land, h(t)=0

So,

-16t^2+32t+128=0

The above is a quadratic equation. It can be solved by the formula as follows :

t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Here, a = -16, b = 32 and c = 128

t=\dfrac{-32\pm \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=\dfrac{-32+ \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}, \dfrac{-32\- \sqrt{(32)^2-4\times (-16)(128)} }{2\times (-16)}\\\\t=-2\ s\ \text{and}\ 4\ s

Neglecting negative value, the projectile will land after 4 seconds.

4 0
3 years ago
A circle has a circumference of 33 inches. What is<br> the area of the circle?
UkoKoshka [18]

Answer: Circle

Solve for area

A≈86.66in²

C Circumference

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=332

4·π≈86.65987in²

Step-by-step explanation:

6 0
1 year ago
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each note
Soloha48 [4]

Answer:

Mallory can buy 16 notebooks

Step-by-step explanation:

You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks

5 0
3 years ago
Read 2 more answers
A box is 90 cm long. What is the length of the box in feet?
Taya2010 [7]
90÷2=45.
45÷12=3.75ft.
5 0
3 years ago
Other questions:
  • A segment has endpoints F and H . What are two names for the segment?
    14·1 answer
  • Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y
    11·2 answers
  • A trough is 14 ft long and its ends have the shape of isosceles triangles that are 2 ft across at the top and have a height of 1
    5·1 answer
  • Can someone please explain i’m confused
    12·2 answers
  • A certain bell rings every 60 minutes. Another Bell rings every 90 minutes. Both bells begin ringing at midnight (12:00 a.m). Ho
    11·1 answer
  • Fewer than is right? my brain isnt working rn
    12·1 answer
  • Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
    12·1 answer
  • Can I get the answer please ?
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Chuge%5Cblue%7B%5Cboxed%7B%5Ctt%7B%5Ccolorbox%7Bblack%7D%7Bhi%20need%20kausap%20%5C%3A%20who
    13·2 answers
  • I need to solve for the indicated pieces of the right triangle and round sides and angles to the nearest tenth also find What x
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!